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14402000 = 245319379
BaseRepresentation
bin110110111100…
…000111010000
31000002200211102
4312330013100
512141331000
61232403532
7233262224
oct66740720
930080742
1014402000
118147488
1249a65a8
132ca33c2
141cac784
1513e73d5
hexdbc1d0

14402000 has 80 divisors (see below), whose sum is σ = 36753600. Its totient is φ = 5443200.

The previous prime is 14401993. The next prime is 14402027. The reversal of 14402000 is 20441.

14402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37811 + ... + 38189.

It is an arithmetic number, because the mean of its divisors is an integer number (459420).

Almost surely, 214402000 is an apocalyptic number.

14402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376800).

14402000 is an abundant number, since it is smaller than the sum of its proper divisors (22351600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14402000 is a wasteful number, since it uses less digits than its factorization.

14402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 14402000 is about 3794.9967061909. The cubic root of 14402000 is about 243.2993426386.

Adding to 14402000 its reverse (20441), we get a palindrome (14422441).

The spelling of 14402000 in words is "fourteen million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 379 380 400 475 500 758 760 950 1000 1516 1520 1895 1900 2000 2375 3032 3790 3800 4750 6064 7201 7580 7600 9475 9500 14402 15160 18950 19000 28804 30320 36005 37900 38000 47375 57608 72010 75800 94750 115216 144020 151600 180025 189500 288040 360050 379000 576080 720100 758000 900125 1440200 1800250 2880400 3600500 7201000 14402000